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Simplifying 2a + -5 + 7a = 15 + -1a Reorder the terms: -5 + 2a + 7a = 15 + -1a Combine like terms: 2a + 7a = 9a -5 + 9a = 15 + -1a Solving -5 + 9a = 15 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -5 + 9a + a = 15 + -1a + a Combine like terms: 9a + a = 10a -5 + 10a = 15 + -1a + a Combine like terms: -1a + a = 0 -5 + 10a = 15 + 0 -5 + 10a = 15 Add '5' to each side of the equation. -5 + 5 + 10a = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 10a = 15 + 5 10a = 15 + 5 Combine like terms: 15 + 5 = 20 10a = 20 Divide each side by '10'. a = 2 Simplifying a = 2
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